By Martin Gardner
Aha! perception demanding situations the reader's reasoning energy and instinct whereas encouraging the advance of 'aha! reactions'.
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Additional resources for Aha! Insight
Newcastle-upon-Tyne, England (privately published), 1965. Tangrams. Peter Van Note. Charles E. Tuttle, 1966. 536 Puzzles and Curious Problems. Henry Ernest Dudeney. Scribner's, 1967 The Eighth Book of Tan. Sam Loyd. Dover, 1968 (reprint of 1903 edition). " Harry Lindgren, in Journal of Recreational Mathematics 1, July 1968, pp. 184- 192. Tangramath. Dale Seymour. Creative Publications, 1971. A Tangram Tale. William Cameron. Brockhampton Press, 1972. " E. S. Deutsch and Kenneth C. , in Machine Intelligence 7.
Mencken's spurious history of the bathtub. "According to the late Professor Challenor," Loyd wrote, "whose posthumous papers have come into the possession of the writer, seven books of Tangrams, containing one thousand designs each, are known to have been compiled in China over 4000 years ago. These books are so rare that Professor Challenor says that during a forty years' residence in China he only succeeded in seeing perfect editions of the first and seventh volumes, with stray fragments of the second.
As I explained in the previous chapter, an irrational tangram drawn on graph paper with the unit square tan oriented orthogonally would have all its edges making 45-degree angles with the matrix lines. All corners clearly must be either 90 degrees or 270 degrees. Since each side is a multiple of & and the total area is 8, it follows that any irrational snug tangram will be a tetromino composed of four squares, each fi on the side. There are five tetrominoes. One of them, the square, we know can be formed.